List questions from group-homomorphism

Published on 11 Apr 2026 - 22:58

315

Views

On isomorphisms between $G$ and $H\times K$

Published on 13 Apr 2026 - 7:04

61

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(Un)boundedness of real-valued homomorphism on some lattice.

Published on 09 Apr 2026 - 21:06

973

Views

Homomorphisms between a finite group and $(\mathbb R,+)$

Published on 10 Apr 2026 - 22:15

48

Views

The kernel of $ C_m\to C_m,\ x\to x^r$

Published on 14 Apr 2026 - 8:51

5.5k

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How many homomorphisms from $\mathbb Z_4$ to $S_4$?

Published on 30 Mar 2026 - 16:24

249

Views

Homomorphism from divisible group to finite group is always trivial

Published on 29 Apr 2026 - 12:53

129

Views

Every surjective homomorphism $\alpha : \mathbb{Z}^3 \rightarrow \mathbb{Z}^3$ is isomorphism

Published on 17 Apr 2026 - 5:29

2k

Views

Image of abelian group under homomorphism is abelian group.

Published on 16 Apr 2026 - 10:47

553

Views

Homomorphisms from $\mathbb Q$ to a finitely generated abelian group

Published on 13 Apr 2026 - 0:51

285

Views

Is the following mappings automorphisms of their respective groups? (Herstein BOOK)

Published on 13 Apr 2026 - 16:03

75

Views

Lie group homomorphism to $S^1$

Published on 10 May 2026 - 14:55

277

Views

Show that $GL_n(\mathbb{F}_{23})$ has subgroup of index $2$

Published on 10 May 2026 - 19:48

278

Views

Isomorphism theorem in categories?

Published on 14 Apr 2026 - 18:15

518

Views

Is $f(z)=2^z$ a homomorphism?

Published on 13 Apr 2026 - 8:13

List Question

Sufficient conditions for a group homomorphism/isomorphism

On isomorphisms between $G$ and $H\times K$

(Un)boundedness of real-valued homomorphism on some lattice.

Homomorphisms between a finite group and $(\mathbb R,+)$

The kernel of $ C_m\to C_m,\ x\to x^r$

How many homomorphisms from $\mathbb Z_4$ to $S_4$?

Homomorphism from divisible group to finite group is always trivial

Every surjective homomorphism $\alpha : \mathbb{Z}^3 \rightarrow \mathbb{Z}^3$ is isomorphism

Image of abelian group under homomorphism is abelian group.

Homomorphisms from $\mathbb Q$ to a finitely generated abelian group

Is the following mappings automorphisms of their respective groups? (Herstein BOOK)

Lie group homomorphism to $S^1$

Show that $GL_n(\mathbb{F}_{23})$ has subgroup of index $2$

Isomorphism theorem in categories?

Is $f(z)=2^z$ a homomorphism?

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